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A square bisected by a diagonal produces two right angle triangles, therefore you will solve for the hypotenuse of the triangle: If the perimeter is 16, then each side is 16/4 or 4 inches Thus you have a right triangle that has an opposite leg of 4 and an adjacent leg of 4. Enter pythagoras: h = squareroot(opp^2 + adj^2) = sqr(4^2 + 4^2 ) = sqr(32) = 5.65685425 h = 5.656854 inches.

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